mnist-data-proc.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np \n",
    "from sklearn import datasets, metrics\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.decomposition import PCA\n",
    "from sklearn.preprocessing import Binarizer, binarize\n",
    "from copy import copy\n",
    "from collections import Counter\n",
    "import matplotlib.pyplot as plt \n",
    "\n",
    "# import counter\n",
    "data_digits, label_digits = datasets.load_digits(return_X_y=True)\n",
    "PCA_COMP =8\n",
    "pca = PCA(n_components= PCA_COMP)\n",
    "\n",
    "data_digits_reduced = pca.fit_transform(data_digits)\n",
    "\n",
    "def mean_threshold_binarization(dat_):\n",
    "    dat = copy(dat_)\n",
    "    dat_mean = dat.mean()\n",
    "    dat[dat >= dat_mean] = int(1) \n",
    "    dat[dat < dat_mean] = int(0)\n",
    "    return dat \n",
    "\n",
    "to_bin = lambda data : ''.join(map(str, map(int, binarize([data], threshold= data.mean()).tolist()[0] )) )\n",
    "data_digits_bin = [ to_bin(data) for data in data_digits_reduced ] \n",
    "# training_data = list(zip(data_digits_bin, label_digits))\n",
    "from qumcmc.prob_dist import DiscreteProbabilityDistribution\n",
    "from qumcmc.training import CDTraining\n",
    "from qumcmc.energy_models import IsingEnergyFunction, random_ising_model, Exact_Sampling\n",
    "from qumcmc.mcmc_sampler_base import MCMCSampler, QuantumMCMCSampler, ClassicalMCMCSampler\n",
    "from qumcmc.classical_mixers import *\n",
    "from qumcmc.mixers import *\n",
    "from qumcmc.basic_utils import *\n",
    "\n",
    "cal_gradvar = lambda TRAINING0 : [ (max(b[1]+b[0]), min(b[1]+b[0])) for b in TRAINING0.training_history['max-min-gradient'] ]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "nspin = PCA_COMP\n",
    "seed = 142248787\n",
    "DATA = DiscreteProbabilityDistribution(Counter(data_digits_bin))\n",
    "MODEL0 = random_ising_model(nspin, seed,)\n",
    "MODEL0S = Exact_Sampling(MODEL0)\n",
    "BETA0= 1.0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 2500x1900 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(25,19))\n",
    "plot_bargraph_desc_order(DATA)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "CLSMIXER_UNIFORM = UniformProposals(nspin)\n",
    "CLSAMPLER0 = ClassicalMCMCSampler(10, MODEL0, CLSMIXER_UNIFORM, name= 'CLSAMPLER0')\n",
    "\n",
    "QMIXER_GENERIC = GenericMixer(nspin, int(nspin/2))\n",
    "QSAMPLER0 = QuantumMCMCSampler(10, MODEL0, QMIXER_GENERIC, gamma= 0.5, verbose= False, name= 'QSAMPLER0')\n",
    "\n",
    "\n",
    "\n",
    "TRAINING0 = CDTraining(MODEL0, BETA0, DATA, name= 'mnist-v0')\n",
    "TRAINING1 = CDTraining(MODEL0, BETA0, DATA, name= 'mnist-v1')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "training epochs: 100%|██████████| 500/500 [35:00<00:00,  4.20s/it, sampler=QSAMPLER0, update-strategy=all, kl div =0.461]\n"
     ]
    }
   ],
   "source": [
    "TRAINING0.train(QSAMPLER0, 1000, epochs= 500, verbose= True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "training epochs: 100%|██████████| 500/500 [00:24<00:00, 20.62it/s, sampler=CLSAMPLER0, update-strategy=all, kl div =0.508]\n"
     ]
    }
   ],
   "source": [
    "TRAINING1.train(CLSAMPLER0, 1000, epochs= 500, verbose= True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x76bb1e1d5fc0>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(TRAINING1.training_history['kl_div'], label= 'cl')#, TRAINING0.training_history['kl_div'])\n",
    "plt.plot(TRAINING0.training_history['kl_div'], label= 'qu')#, TRAINING0.training_history['kl_div'])\n",
    "plt.yscale('log')\n",
    "plt.legend()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2.6347705194555457"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "training1model = Exact_Sampling(TRAINING1.model)\n",
    "plot_bargraph_desc_order(training1model.boltzmann_pd)\n",
    "\n",
    "kl_divergence(training1model.boltzmann_pd, MODEL0S.boltzmann_pd)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2.55340644474934"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "training0model = Exact_Sampling(TRAINING0.model)\n",
    "plot_bargraph_desc_order(training0model.boltzmann_pd)\n",
    "\n",
    "kl_divergence(training0model.boltzmann_pd, MODEL0S.boltzmann_pd)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "from qumcmc.prob_dist import kl_divergence"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pickle as pkl\n",
    "\n",
    "pklfileloc= ''\n",
    "pklfilename= 'mnist-v0-qu.pkl'\n",
    "pklfile = pklfileloc+pklfilename\n",
    "\n",
    "with open(pklfile, 'wb') as f :\n",
    "    pkl.dump(TRAINING0, f)\n",
    "\n",
    "pklfileloc= ''\n",
    "pklfilename= 'mnist-v0-cl.pkl'\n",
    "pklfile = pklfileloc+pklfilename\n",
    "\n",
    "with open(pklfile, 'wb') as f :\n",
    "    pkl.dump(TRAINING1, f)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "False"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "TRAINING0.model == MODEL0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}